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Can you guys help me solve this Note: You may use a basic calculator for this question. - Consider the functions f: R2 - R3,

Can you guys help me solve this

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Note: You may use a basic calculator for this question. - Consider the functions f: R2 - R3, f (x, y) = ( 6 . x2 . y , - 5 . x3 . y, 4 . x . y + x2 . ) and g: R' - R2, 8 (u, v, W) = (u . v - 3 . u . W, 4 . u . v . w + v . W) In private, explain to yourself why f and g are totally differentiable (remember: existence of partial derivatives does not imply total differentiability). Then find the specified total derivatives of f and g at the specified points. D(u,u, W) 8 = D(2,2,-1)8 = D(x,y) f = Dg(2,2, - 1) f = D(2,2,-1) (f . 8) =

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